Name
Abstract | ||
|---|---|---|
The large time behavior of nonnegative weak solutions to a thin film approximation of the two-phase Muskat problem is studied. A classification of self-similar solutions is first provided: there is always a unique even self-similar solution while a continuum of nonsymmetric self-similar solutions exist for certain fluid configurations. Despite this nonuniqueness, convergence of all nonnegative weak solutions toward a self-similar solution is proved. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1137/16M1055335 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
thin film Muskat problem,degenerate parabolic system,self-similar solutions,asymptotic behavior | Convergence (routing),Mathematical optimization,Mathematical analysis,Continuum (design consultancy),Thin film,Asymptotic analysis,Self-similarity,Mathematics | Journal |
Volume | Issue | ISSN |
49 | 4 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Philippe Laurençot | 1 | 30 | 10.30 |
| Bogdan-Vasile Matioc | 2 | 1 | 1.45 |